A reciprocation control apparatus includes a manifold including delivery and exhaust ports formed therethrough, the manifold being movable between an air delivery/exhaust pipe to a pushing-out cylinder and an air delivery pipe to an air supply. When the manifold is moved to a position in which the delivery and exhaust ports are connected to each other, air is selectively supplied to or exhausted from the head and cap sides of the pushing-out cylinder. Thus, the pushing-out cylinder can easily and simply be controlled in reciprocation. When such a reciprocation control apparatus is incorporated into a ring alignment apparatus, the ring alignment apparatus can easily and simply be switched from one state to another with an automated alignment being carried out to handle a number of ring members.